Least Common Multiple of 975/78, 912/6975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 975/78, 912/6975 quickly i.e. 98800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 975/78, 912/6975 is 98800.

LCM(975/78, 912/6975) = 98800

LCM of 975/78, 912/6975

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 975/78,912/6975

Given numbers are 975/78,912/6975

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 975,912

Least Common Multiple of Numerators i.e. LCM of 975,912 is 296400.

GCF of Denominators means GCF of 78,6975 as per the given fractions.

GCF of 78,6975 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 975,912

LCM of Fractions 975/78,912/6975 is 98800

3 975, 912
325, 304

∴ So the LCM of the given numbers is 3 x 325 x 304 = 296400

Least Common Multiple of 975,912 with GCF Formula

Least Common Multiple of 975,912 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 975,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(975,912) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(975,912) x common factors =3 x 1 = 3

LCM(975,912) = ( 975 × 912 ) / 3

LCM(975,912) = 889200 / 3

LCM(975,912) = 296400


Lets's calculate GCF of 78,6975

3 78, 6975
26, 2325

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 296400/3

Therefore the LCM of Fractions 975/78,912/6975 is 98800

Greatest Common Factor of 78,6975 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,6975 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 6975

List of positive integer factors of 6975 that divides 6975 without a remainder.

1,3,5,9,15,25,31,45,75,93,155,225,279,465,775,1395,2325,6975

Greatest Common Factor

We found the factors 78,6975 . The biggest common factor number is the GCF number.
So the greatest common factor 78,6975 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 975/78, 912/6975

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 975/78, 912/6975?

Answer: LCM of Numerators as per given numbers 975/78, 912/6975 is

LCM of Numerators i.e. for 975,912 is 296400

GCF of denominators i.e. for 78,6975 is 3.

Thus, LCM of Fractions is 98800.Finally, LCM of Fractions for 975/78, 912/6975 is 98800.